4,036,989

3 × 11 × 71 × 1723

4,036,989 factors as 3 × 11 × 71 × 1723. Its 16 positive divisors give a proper-divisor sum of 1,921,155, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3 × 11 × 71 × 1723

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,958,144

Proper Divisor Sum 1,921,155

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4036961 ← → #4036993

Radix Representation

Decimal	4036989
Binary	1111011001100101111101 (22 bits)
Octal	0o17314575
Hexadecimal	0x3D997D

Divisor Catalog (16)

1 3 11 33 71 213 781 1,723 2,343 5,169 18,953 56,859 122,333 366,999 1,345,663 4,036,989

Collatz Trajectory (185 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,036,989 12,110,968 6,055,484 3,027,742 1,513,871 4,541,614 2,270,807 6,812,422 3,406,211 10,218,634 5,109,317 15,327,952 7,663,976 3,831,988 1,915,994 957,997 2,873,992 1,436,996 718,498 359,249 1,077,748 538,874 269,437 808,312 404,156 202,078 101,039 303,118 151,559 454,678 227,339 682,018 341,009 1,023,028 511,514 255,757 767,272 383,636 191,818 95,909 287,728 143,864 71,932 35,966 17,983 53,950 26,975 80,926 40,463 121,390 60,695 182,086 91,043 273,130 136,565 409,696 204,848 102,424 51,212 25,606

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